• DocumentCode
    813655
  • Title

    Eigenvalues of partitioned matrices "generated" by a matrix with known eigenvalues

  • Author

    Gyr, M.

  • Author_Institution
    European Organization for Nuclear Research, Geneva, Switzerland
  • Volume
    19
  • Issue
    1
  • fYear
    1974
  • fDate
    2/1/1974 12:00:00 AM
  • Firstpage
    88
  • Lastpage
    89
  • Abstract
    A method is shown which allows to compute the eigenvalues of an mn -dimensional square matrix F from the eigenvalues of an n -dimensional matrix A , if the m2submatrices of F are describable by convergent power series of A . As an illustration, matrices arising in a multivariable feedback control system are considered.
  • Keywords
    Bismuth; Eigenvalues and eigenfunctions; Feedback control; MIMO; Optical character recognition software; Polynomials; Protons; Stability analysis; Synchrotrons;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1974.1100460
  • Filename
    1100460